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### Jeff

1. 1. St. Joseph's College 2008-2009 Mathematics Project Topic: Pythagoras Theorem Members: Ng King Hay (27) Benjamin Poon (28) Alex Tam (35) Jones Cheung (5) Alexander Shiu (32)
2. 2. Introduction <ul><li>Pythagoras Theorem
3. 3. Want to know more about it
4. 4. History of Pythagoras
5. 5. Useful to daily life or professional
6. 6. Know more about triangles </li></ul>
7. 7. Pythagoras Theorem <ul><li>For right-angled triangles
8. 8. T he hypotenuse square of a right-angled triangle is equal to the square of opposite side and the adjacent side
9. 9. a^2+b^2=c^2 </li></ul>
10. 11. History <ul><li>Born on the island of Samos in Greece
11. 12. Founding a group, the Brotherhood of Pythagoreans
12. 13. Found the theorem and spread it out
13. 14. Useful for us to know more about triangles </li></ul>
14. 15. Examples AC^2=7^2+24^2 AC^2=625 AC=625 square Therefore AC=25
15. 16. Converse of Pyth. Theorem <ul><li>Know the length of every line of a right-angled triangle
16. 17. Know the triangle is right-angled or not
17. 18. To know more about triangles </li></ul>
18. 19. Euclid <ul><li>Converse of Pyth. Theorem is not found by Pythagoras
19. 20. Found by a man called Euclid
20. 21. First proposed and proved by Euclid
21. 22. Very useful for mathematics nowadays </li></ul>
22. 24. History <ul><li>A Greek mathematician
23. 25. Referred to as the &quot;Father of Geometry&quot;
24. 26. Wrote works on perspective and conic sections
25. 27. Main article: Euclid's Elements </li></ul>
26. 28. Examples 4^2+3^2=25 5^2=25 Because 4^2+3^2=5^2=25 Therefore this triangle is an right-angled triangle with angle X =90 degree. (converse of Pyth. Theorem)
27. 29. Problems we encountered <ul><li>Search for information
28. 30. Hold a meeting
29. 31. Work as a team
30. 32. Have arguments between members
31. 33. Choose a suitable topic </li></ul>
32. 34. Conclusion <ul><li>All members have worked hard
33. 35. Successful hold a meeting at 15 th May
34. 36. Find some useful websites
35. 37. Less arguments between members </li></ul>
36. 38. Acknowledgement <ul><li>Thank for wikipedia and yahoo for giving us information
37. 39. Thank for Ms Tsoi for giving us professional ideas
38. 40. Thank for some classmates gave us useful knowledge about Maths </li></ul>
39. 41. References Books: 1. Pythagoras 's Theorem 2. Beauty proof of Mathematics 3. Converse of Pythagoras Theorem 4. Euclid Websites: 1. www.wikipedia.com 2. http://www.groups.dcs.st.and.ac.uk/ ~history/Biographies/Euclid.html 3. http://www.pbs.org/wgbh/nova/proof/ puzzle/theorem.html
40. 42. ~End~